182105 has 24 divisors (see below), whose sum is σ = 280896. Its totient is φ = 110880.

The previous prime is 182101. The next prime is 182107. The reversal of 182105 is 501281.

It is not a de Polignac number, because 182105 - 2² = 182101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (182101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4214 + ... + 4256.

It is an arithmetic number, because the mean of its divisors is an integer number (11704).

2¹⁸²¹⁰⁵ is an apocalyptic number.

It is an amenable number.

182105 is a deficient number, since it is larger than the sum of its proper divisors (98791).

182105 is a wasteful number, since it uses less digits than its factorization.

182105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 182105 is about 426.7376243080. The cubic root of 182105 is about 56.6814071610.

Adding to 182105 its reverse (501281), we get a palindrome (683386).

It can be divided in two parts, 182 and 105, that multiplied together give a triangular number (19110 = T₁₉₅).

The spelling of 182105 in words is "one hundred eighty-two thousand, one hundred five".